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All that changing the subject of the formula means is basically getting a letter on its own on one side of the equation. To begin, let's take a relatively simple example.
Make x the subject of the formula:
4y + 2 = x - 4
What this question basically means is get x on its own. At the moment on the right hand side we have x - 4. So, because we want x on its own what we can do is add 4 to this side. However, we must then add 4 to the left hand side to balance the equation (remember what we do to one side when changing the subject of the formula WE MUST DO TO THE OTHER SIDE). This then gives us the following:
4y + 2 +4 = x
So our final answer is:
x = 4y + 6
We have successfully made x the subject of the formula. Now let's try something a little bit more challenging.
Make y the subject of the formula.
2y/5 - 3x = 2
First we must isolate the 2y/5. To do this we can add 3x to both sides to get rid of it on the left side and get 2y/5 on its own. This gives us:
2y/5 = 2 + 3x
Now, the 2y is divided by 5, therefore by doing the inverse function of division which is multiplication, we can get 2y on its own. So we can multiply both sides by 5.
2y/5 * 5 = 5 * (2 + 3x)
2y = 5(2 + 3x)
It's probably easier if these brackets are expand so:
2y = 10 + 15x
TIP: Remember to put brackets around 2 + 3x because both the 2 and the 3x are being multiplied by 5.
Finally we must get y on its own. At the moment the y is being multiplied by 2. So we must do the inverse function and divide 2y by 2. Remember to divide by 2 on both sides.
2y / 2 = (10 + 15x) / 2
y = (10 + 15x) / 2
This can be simplified to:
y = 5 + 15x/2
This is because 10/2 = 5 and 15x2 =is just 15x/2.
We have now successfully made y the subject of the formula.
The key things to remember when changing the subject of the formula are:
- All it means is get a letter on one side of the equation on its own
- Use inverses functions (+ and - are inverses of each other and so are * and /) to isolate the letter
- Whatever you do to one side you must do to the other see more
Firstly, it is important to understand that for any verb conjugation there are six different persons. These are the first, second and third person singluars and their plural forms. In English, these are: I, you, he/she/it, we, you all and they.
Now that you know the different persons, we can form regular verbs in the present tense. In Spanish, the infinitive (in English put 'to' infront of the verb to form the infinitive e.g. to eat) of all verbs end in either AR, IR or ER. Let's begin with verbs ending in AR and let's take hablar (to speak) as an example. The verb is conjugated below:
I speak - hablo
You speak - hablas
He/she/it speaks - habla
We speak - hablamos
You all speak - hablais (accent required on the a of ais)
They speak - hablan
Notice that the AR has been removed each time and a new ending has been added to conjugate the verb. An easy way to remember this is by creating a simple rhyme of the endings o, as, a, amos,ais, an.
Now on to IR verbs. Let's use the verb vivir (to live) as an example to show the process.
I live - Vivo
You live - Vives
He/she/it lives- Vive
We live - Vivimos
You all live - Vivis (accent required on the i of is)
They live - Viven
So the process is again similar, remove the IR and add o, es, e, imos, is and en. This will work for any regular verb ending in IR in the present tense.
Finally, on to verbs ending in ER. You will find that these endings are very similar to IR verbs but slightly diferent. Let's use the verb comer (to eat).
I eat - Como
You eat - Comes
He/she/it eats - Come
We eat - Comemos
You all eat - Comeis (accent required on the e of eis)
They eat - Comen
So the ER is once again removed and o, es, e, emos, eis and en are add to the verb to conjugate it with respect to the person doing the action.
So that is how you conjugate regular AR, IR and ER verbs in the present tense. Howver be careful! Some verbs are irregular in the present which means that this formula will not work. Examples include Ir (to go), Ser (to be) and Jugar (to play).
Globalisation is the process of the worlds systems becoming increasingly interlinked. Advancements in technology has resulted in improved transport and communication systems which has increased flows of people, capital and goods between countries globally. This has resulted in a 'shrinking world', a concept which suggests that the world is becoming smaller due to the increased speed of global connections. For example, today more and more people can communicate easily with others on the other side of the world due to the development of the internet and mobile phones.
As for how globalisation affects us, it probably affects us in more ways than you may think. If it wasn't for globalisation and the increasing number of connections between places many of the consumer goods that we own, such as an iPhone, would be much less accessible and certainly much more expensive. It also affects us positively both economically and culturally. Today, nearly all jobs in the secondary and tertiary sectors of employment are linked to the process of globalisation with many businesses having international links. Also, globalisation has increased international migration which has resulted in multicultural societies.
However, globalisation is also affecting us in a negative way. Increased transportation and the global shift of polluting manufacturing industries has resulted in environmental degradation. Pollution is affecting people's health and having a negative impact on biodiversity levels globally. Also, increased transport connections has resulted in carbon dioxide, methane and other greenhouse gas emissions into the atmosphere. These emissions are contributing to climate change which will have an increasing impact on our daily lives in the future due to the increased frequency and intensity of hydrological and meteorological events such as droughts, flooding and tropical storms.see more